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Understanding Relations and Their Representations in Mathematics

In mathematics, a relation is defined as a set of ordered pairs that represent a relationship between two numbers. This guide will discuss the various ways to represent relations, including tables, graphs, and mappings. We'll explore an example relation, {(-1,2),(0,-3),(-3,2),(-2,-2)}, demonstrating its representation in a table format and as a graph. Additionally, we'll cover inverse relations and how to express them by switching the x and y values in each ordered pair, highlighting the domain and range for deeper understanding.

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Understanding Relations and Their Representations in Mathematics

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  1. 1.6 - Relations

  2. Relation

  3. Relation – a set of ordered pairs

  4. Relation – a set of ordered pairs (relationship btw. 2 numbers!)

  5. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations:

  6. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set

  7. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table

  8. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph

  9. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping

  10. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as:

  11. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table

  12. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y

  13. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y

  14. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y

  15. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y

  16. Relation – a set of ordered pairs (relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y

  17. 2. a graph

  18. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  19. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  20. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  21. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  22. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  23. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  24. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  25. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  26. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  27. 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

  28. 3. a mapping

  29. 3. a mapping X Y

  30. 3. a mapping X Y -3 -2 -1 0

  31. 3. a mapping X Y -3 -3 -2 -2 -1 2 0

  32. 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y -3 -3 -2 -2 -1 2 0

  33. 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y -3 -3 -2 -2 -1 2 0

  34. 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y -3 -3 -2 -2 -1 2 0

  35. 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y -3 -3 -2 -2 -1 2 0

  36. 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y -3 -3 -2 -2 -1 2 0

  37. Inverse Relation

  38. Inverse Relation - switch the x and y values in each ordered pair!

  39. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation.

  40. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation.

  41. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation.

  42. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),

  43. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),

  44. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),

  45. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),

  46. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),

  47. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),

  48. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)}

  49. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)}

  50. Inverse Relation - switch the x and y values in each ordered pair! Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain:

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